Abstract
A gas wave refrigerator (GWR) is a novel refrigerating device that refrigerates a medium by shock waves and expansion waves generated by gas pressure energy. In a typical GWR, the injection energy losses between the nozzle and the expansion tube are essential factors which influence the refrigeration efficiency. In this study, numerical simulations are used to analyze the underlying mechanism of the injection energy losses. The results of simulations show that the vortex loss, mixing energy loss, and oblique shock wave reflection loss are the main factors contributing to the injection energy losses in the expansion tube. Furthermore, the jet angle of the gas is found to dominate the injection energy losses. Therefore, the optimum jet angle is theoretically calculated based on the velocity triangle method. The value of the optimum jet angle is found to be \(4^{\circ }\), \(8^{\circ }\), and \(12^{\circ }\) when the refrigeration efficiency is the first-order, second-order, and third-order maximum value over all working ranges of jet frequency, respectively. Finally, a series of experiments are conducted with the jet angle ranging from \(-4^{\circ }\) to \(12^{\circ }\) at a constant expansion ratio. The results indicate the optimal jet angle obtained by the experiments is in good agreement with the calculated value. The isentropic refrigeration efficiency increased by about 4 % after the jet angle was optimized.
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References
Li, Z., Xu, L.: Research and application of gas wave refrigeration. Cryogenics 2, 22–27 (2002) (in Chinese)
Marchal, P., Malek, S., Viltard, J.C.: Skin-mounted rotating thermal separator efficiently recovers NGL from associated gas. Oil and Gas Journal 62, 120–122 (1985)
Zhao, J., Hu, D.: An improved wave rotor refrigerator using an outside gas flow for recycling the expansion work. Shock Waves (2016). https://doi.org/10.1007/s00193-016-0648-x
Liu, W., Hu, D.: The research situation of gas wave refrigeration technology. Refrigeration 21(4), 19–24 (2002) (in Chinese)
Zhu, C., Liu, R., Li, H.: The application of gas wave refrigerating technology in the dehydration and purification engineering of natural gas. Refrigeration 50(1), 10–15 (1995) (in Chinese)
Liu, W., Hu, D.: The research situation and application in industry of gas wave refrigerator. Journal of Liaoyang Petrochemical College 18(3), 18–23 (2002)
Larosiliere, L.M.: Wave rotor charging process: Effects of gradual opening and rotation. Journal of Propulsion and Power. 11(1), 178–184 (1995)
Galyukov, A., Timofeev, E., Voinovich, P.: Numerical analysis of transient gas flow in a pressure wave refrigerator. In: Wagner, S., Hirschel, E.H., Periaux, J., Piva, R. (eds.) Computational Fluid Dynamics 94, Proc. 2nd European CFD Conf., pp. 678–684. John Wiley & Sons, Chichester New York Brisbane Toronto Singapore (1994)
Galyukov, A., Timofeev, E., Voinovich, P.: Numerical study of wave processes in a pressure-wave refrigerator. Shock Waves 6(5), 301–308 (1996)
Liu, W., Ji, X.: The influential factors of isentropic efficiency of gas wave refrigerator. Journal of Liaoyang Petrochemical College 17(4), 40–44 (2001) (in Chinese)
Liu, P., Xu, S., Wang, Z., Liu, S., Hu D.: Influence of offset angle on refrigeration efficiency of gas wave refrigerator and prediction for optimal offset angle. CIESC Journal. 65(11), 4271–4277 (2014) (in Chinese)
Umar, M., Garris, C.A.: Effect of geometric parameters on the performance of a radial flow pressure exchange ejector. ASME IMECE 7, 1023–1033 (2010)
Koshimizu, T., Kubota, H., Takata, Y., Ito, T.: Numerical simulation of heat and fluid flow in a basic pulse-tube refrigerator. In: ASME 2004 Heat Transfer/Fluids Engineering Summer Conference, vol. 2, pp. 587–594 (2004)
Liu, W., Ji, X.: Design of the structure and research on the character of new gas wave refrigerator. Fluid Machinery 32(4), 63–65 (2004) (in Chinese)
Liu, H., Zhang, Z.: Theoretical analysis of thermodynamic process inside the receiving tubes of rotating thermal separators. Cryogenic Technology 1, 8–12 (2004) (in Chinese)
Zhao, W., Hu, D., Liu, P., Dai, Y., Rong, C., Zhao, J.: Influence of port angle on performance of gas wave ejector and prediction for optimal angle. CIESC Journal. 63(2), 572–577 (2012) (in Chinese)
Iancu, F., Piechna, J., Müller, N.: Basic design scheme for wave rotors. Shock Waves 18(5), 365–378 (2008)
Ivanov, I.E., Kryukov, I.A., Semenov, V.V.: Numerical simulation of separated flow in nozzle with slots. In: Hannemann, K., Seiler, F. (eds.) 26th International Symposium on Shock Waves, vol. 2, pp. 973–978. Springer, Berlin (2009)
Yen, R., Huang, B., Chen, C., Shiu, T., Cheng, C., Chen, S., Shestopalov, K.: Performance optimization for a variable throat ejector in a solar refrigeration system. International Journal of Refrigeration 36(5), 1512–1520 (2013)
Sezal, I.H., Schmidt, S.J., Schnerr, G.H., Thalhamer, M., Förster, M.: Shock and wave dynamics in cavitating compressible liquid flows in injection nozzles. Shock Waves 19(1), 49–58 (2009)
Boulet, M., Marcos, B., Moresoli, C., Dostie, M.: Sequential inverse method implemented into CFD software for the estimation of a radiation boundary. International Journal of Thermal Sciences 51, 7–15 (2012)
Tao, W.: Numerical Heat Transfer. Xi’an Jiaotong University Press, (2001)
Kudryavtsev, A.N., Khotyanovsky, D.V., Epshtein, D.B.: Investigation of interaction between shock waves and flow disturbances with different shock-capturing schemes. In: Hannemann, K., Seiler, F. (eds.) 26th International Symposium on Shock Waves, vol. 2, pp. 1023–1028. Springer, Berlin (2009)
Shyue, K.M.: A volume-fraction based algorithm for hybrid barotropic and non-barotropic two-fluid flow problems. Shock Waves 15(6), 407–423 (2006)
Sanaye, S., Niroomand, B.: Vertical ground coupled steam ejector heat pump; thermal-economic modeling and optimization. International Journal of Refrigeration 34(7), 1562–1576 (2011)
Jung, Y.G., Chang, K.S.: Shock focusing flow field simulated by a high-resolution numerical algorithm. Shock Waves 22(6), 641–645 (2012)
Liu, P., Zhu, Y., Zhao, J., Hu, D., Zou, J.: Investigation and optimization of waves motion behavior in pressure oscillating tube. Experimental Thermal and Fluid Science 50, 193–200 (2013)
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This research was supported by the National Natural Science Foundation of China (21676048) (21476036) and Basic research project of Key Laboratory of Liaoning Provincial Education Department (LZ2015019).
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Communicated by C.-Y. Wen and A. Higgins.
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Liu, P., Zhu, Y., Wang, H. et al. Influence of the nozzle angle on refrigeration performance of a gas wave refrigerator. Shock Waves 27, 507–516 (2017). https://doi.org/10.1007/s00193-016-0689-1
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DOI: https://doi.org/10.1007/s00193-016-0689-1